An M16 style extractor is safer than the Sako due to the pinning. In the event of a case rupture the Sako can travel down the bolt race and into your face.
You can get a Stiller LH WSM action for less than $1000.
Or you could go the budget route with a Savage action and spend the rest on tools, custom barrel, stock, trigger, and recoil lug. You could have all of that for about $1000.
Here's my 338 Edge that I built on a LH Savage action for about $1000 before optics.